arXiv Analytics

Sign in

arXiv:0710.5148 [math.NA]AbstractReferencesReviewsResources

The Bramble-Hilbert Lemma

Jan Mandel

Published 2007-10-26, updated 2007-10-28Version 2

This is an introductory document surveying several results in polynomial approximation, known as the Bramble-Hilbert lemma.

Comments: 3 pages, no figures; added 1D case for exposition
Categories: math.NA
Subjects: 65N30, 41A10
Related articles: Most relevant | Search more
arXiv:1803.09547 [math.NA] (Published 2018-03-26, updated 2018-10-03)
A new probabilistic interpretation of Bramble-Hilbert lemma
arXiv:2401.12415 [math.NA] (Published 2024-01-23)
On enforcing non-negativity in polynomial approximations in high dimensions
arXiv:1602.05823 [math.NA] (Published 2016-02-18)
Polynomial approximation via compressed sensing of high-dimensional functions on lower sets